1
)
7
(
ASSIGNMENT NO
APPLICATIONS  FREE PROJECTILE MOTION
1.
A projectile is fired from point O
and passes through the points
A(4,1)
and
B(6,0).
Determine the
firing velocity
0
v
, the firing angle
α
,
the time required to reach A
and B, and
velocities at A and B.
2.
The highest altitude of a projectile
is
(17 mt)
and its range is
(17 mt )
.
Determine the firing velocity
0
v
,
the firing angle
α
, the time of
flight, and the alternative firing
angle to attain the same range.
3.
A ball is projected from point A
with
a
velocity
s
/
m
15
0
=
υ
,
which is perpendicular to the
incline
shown.
Determine
the
range
R
on the plane and time of
flight.
4.
A projectile is fired with an initial
velocity
s
/
m
80
0
=
υ
and firing
angle
)
75
.
0
(
tan
1
−
=
α
. It hits an
incline AB, which forms an angle
α
with the horizontal, at point B.
Determine the position of point B,
the time of flight to B , and the
velocity at B.
5.
A projectile is fired horizontally
from the edge of a cliff. The
horizontal distance from the gun to a
target at A is D. Determine the firing
velocity
0
v
, the alternative firing
α
0
v
x
B(6,0)
x
A(4,1)
y
0
υ
O
y
x
17m
17m
y
O
α
0
v
x
α
375m
0
v
x
y
O
A
H
D
30
60
o
0
v
B
A
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 Spring '08
 elbarki
 Velocity, initial velocity, Trajectory of a projectile, Range of a projectile

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